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Finding the Fourth Proportional to 2,959.80, 4,084.29 and 1,633.50

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Solution

The fourth proportional to 2,959.80, 4,084.29 and 1,633.50 is: 2,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.80 : 4,084.29 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    2,959.80/4,084.29 = 1,633.50/x
  3. Step 3: Cross multiply
    2,959.80x = 4,084.29 × 1,633.50
  4. Step 4: Simplify right side
    2,959.80x = 6,671,687.72
  5. Step 5: Solve for x
    x = 6,671,687.72/2,959.80
  6. Step 6: Final answer
    x = 2,254.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.